An RMS-DC converter based on the dynamic translinear principle

The dynamic translinear principle can be regarded as an extension of the conventional, i.e., static, translinear principle. The dynamic translinear principle cannot only be used to realize linear filters, but also constitutes an interesting approach to the implementation of nonlinear differential equations. In this brief, as an example, a dynamic translinear realization of the nonlinear differential equation describing the rms-dc conversion function is designed, yielding a circuit with a high functional density. Measurement results of a prototype semicustom realization of the rms-dc converter show a good accuracy for crest factors up to ten and a cutoff frequency beyond 5 MHz for all input signal levels.